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原子力显微镜微悬臂梁非线性振动分析 被引量：1

Nonlinear Vibration Analysis of Microcantilevers in Atomic Force Microscopy
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摘要 在考虑激励和摩擦的情况下,对通过1阶Galerkin截断模型化为单自由度系统的原子力杆,利用多尺度方法,得到了稳态响应振幅与解谐参数的关系。用图形表示了激励振幅和阻尼对稳态振幅的影响。 Nonlinear vibration is analyzed for microcantilevers with the Lennard-Jones interaction potential. Based on the governing equation derived with Galerkin method, the near-resonant amplitude-frequency response is obtained by the method of multiple scales. The periodical motion is determined by the amplitude-frequency response.
作者 胡庆泉 唐倩 陈立群
机构地区 山东交通学院数理系 重庆大学机械学院 上海大学力学系
出处 《科技导报》 CAS CSCD 2007年第22期32-35,共4页 Science & Technology Review
基金 国家自然科学基金项目(10672092) 国家自然科学基金项目(10472060) 山东交通学院科研基金项目(Z200812)
关键词 原子力显微镜 非线性系统 数值分析 atomic force microscopy nonlinear system numerical analysis
分类号 TB533 [理学—声学]
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参考文献13

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  • 2RABE U, JANSER K, ARNOLD W. Vibrations of free and surface-coupled atomic force mircoscope cantilevers: Theory and experiment [J]. Review of Scientific Instruments, 1996, 67: 3281-3293.
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  • 8BASSO M, GIARRE L, DAHLEH M, et al. Complex dynamics in a harmonically excited Lennard-Jones oscillator: microcantilever: Sa mple interaction in scanning probe microscopes [J]. Journal of Dynamic Systems, Measurement. and Control, 2000, 122: 240-245.
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同被引文献7

  • 1Binnig G,Quate C F,Gerber C.Atomic Force Microscope[J].Phys Rev Lett,1986,56(9):930-933.
  • 2Aimé J P,Couturier G,Boisgard R,et al.Relationship Between the Nonlinear Dynamic Behaviour of an Oscillating Tip-Microlever System and the Contrast at the Atomic Scale[J].Applied Surface Science,1999,140(3-4):333-338.
  • 3Ashhab M,Salapaka M V,Dahleh M,et al.Dynamical Analysis and Control of Microcantilever[J].Automatic,1999,35:1663-1670.
  • 4Ashhab M,Salapaka M V,Dahleh M,et al.Melnikov-Based Dynamical Analysis of Microcantilivers in Scanning Probe Microscopy[J].Nonlinear Dynamics,1999,20:197-220.
  • 5Lee S I,Howell S W,Raman A D,et al.Nonlinear Dynamic Perspectives on Dynamic Force Microscopy[J].Ultramicroscopy,2003,97(1-4):185-198.
  • 6刘延柱,陈立群.非线性动力学[M].上海:上海交通大学出版社,2001.
  • 7刘延柱 陈文良 陈立群.振动力学[M].北京:高等教育出版社,2000..

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科技导报
2007年 第22期

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